Spacetime Elasticity, Critical Transition, and Energy Dynamics in Extreme Astrophysical Events

This manuscript presents a unified mechanical framework explaining drag-free motion of planetary and stellar systems, enhanced energy output in core-collapse supernovae, ultra-high-energy particle propagation, and potential contributions to cosmological redshift. The theory introduces a critical spacetime transition that distinguishes regimes of low-velocity, drag-free orbits from high-energy astrophysical phenomena. Key highlights include: Drag-Free Orbits: Planets and stars experience negligible energy loss due to symmetric elastic response of spacetime. Supernova Boost: Core-collapse events exceeding the critical transition acquire approximately 15% additional kinetic energy, influencing remnant formation. Ultra-High-Energy Particles: Particles emitted at near-light speeds interact minimally with spacetime until atmospheric collisions, producing secondary particles such as muons. Redshift Implications: The cumulative elastic response of spacetime provides a complementary or alternative mechanism for cosmological redshift observations. The manuscript provides all relevant parameters, first-principles equations, and derivations to allow reproducibility of the framework while maintaining intellectual property protections. Keywords / Hashtags (Zenodo-ready): #SpacetimeElasticity #CriticalTransition #AstrophysicsMechanics #DragFreeOrbits #SupernovaBoost #UltraHighEnergyParticles #Muons #CosmologicalRedshift #ElasticSpacetime #FirstPrinciplesPhysics